
We know, (see for instance [1]}), that the Tikhonov approximation curve \(t \rightarrow x_{t}\)  satisfies \(x^\ast = \lim \limits _{t \rightarrow +\infty } x_{t}\) , where \(x^\ast = \operatornamewithlimits{argmin}\limits _{x \in \operatornamewithlimits{argmin}g} \Vert  x \Vert \)  is the minimal norm element from the set \(\operatornamewithlimits{argmin}g.\)  Obviously, \(\lbrace x^*\rbrace =\operatornamewithlimits{proj}_{\operatornamewithlimits{argmin}g} 0\)  and we have the inequality \(\Vert  x_{t} \Vert  \le \Vert  x^\ast \Vert \)  (see [2]}).
